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21340975968 = 2532135700047
BaseRepresentation
bin10011111000000001…
…010111001101100000
32001002021210220110100
4103320001113031200
5322201242212333
613445351102400
71353564205554
oct237001271540
961067726410
1021340975968
119061474124
124177071a00
13202145b740
141066431864
1584d852213
hex4f8057360

21340975968 has 72 divisors (see below), whose sum is σ = 65356750368. Its totient is φ = 6566452992.

The previous prime is 21340975913. The next prime is 21340976009. The reversal of 21340975968 is 86957904312.

21340975968 is a `hidden beast` number, since 2 + 1 + 3 + 40 + 9 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2846280 + ... + 2853767.

It is an arithmetic number, because the mean of its divisors is an integer number (907732644).

It is a 1-persistent number, because it is pandigital, but 2⋅21340975968 = 42681951936 is not.

Almost surely, 221340975968 is an apocalyptic number.

It is an amenable number.

21340975968 is an abundant number, since it is smaller than the sum of its proper divisors (44015774400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21340975968 is a wasteful number, since it uses less digits than its factorization.

21340975968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700076 (or 5700065 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 21340975968 in words is "twenty-one billion, three hundred forty million, nine hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5700047 11400094 17100141 22800188 34200282 45600376 51300423 68400564 74100611 91200752 102600846 136801128 148201222 182401504 205201692 222301833 273602256 296402444 410403384 444603666 547204512 592804888 666905499 820806768 889207332 1185609776 1333810998 1641613536 1778414664 2371219552 2667621996 3556829328 5335243992 7113658656 10670487984 21340975968